BF3 is considered a hard acid.
BBr3 is a borderline hard acid.
BH3 is a soft acid.
This trend apparently reflects how much electron density is being donated into boron's empty P orbital. Fluorine donates the most (somewhat surprisingly based on its electronegativity) because it has the best energy overlap with the boron P orbital. Hydrogen donates the least electron density because it only has a spherical S orbital so there must be little or no overlap.
I'm not sure how to explain this in terms of HSABT. I know a hard acid is going to be less polarizable and have more ionic interactions, but I can't see how that relates to the trend.